Finding the Fourth Proportional to 10,072.88, 15,107.69 and 7,142.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072.88 : 15,107.69 = 7,142.30 : x
2. Step 2: Convert to fraction form
   10,072.88/15,107.69 = 7,142.30/x
3. Step 3: Cross multiply
   10,072.88x = 15,107.69 × 7,142.30
4. Step 4: Simplify right side
   10,072.88x = 107,903,596.60
5. Step 5: Solve for x
   x = 107,903,596.60/10,072.88
6. Step 6: Final answer
   x = 10,712.29